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Finding the Fourth Proportional to 770.04, 1,155.04 and 282.82

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Solution

The fourth proportional to 770.04, 1,155.04 and 282.82 is: 424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.04 : 1,155.04 = 282.82 : x
  2. Step 2: Convert to fraction form
    770.04/1,155.04 = 282.82/x
  3. Step 3: Cross multiply
    770.04x = 1,155.04 × 282.82
  4. Step 4: Simplify right side
    770.04x = 326,668.41
  5. Step 5: Solve for x
    x = 326,668.41/770.04
  6. Step 6: Final answer
    x = 424.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.